https://github.com/jacobwilliams/nlesolver-fortran

Nonlinear Equation Solver with Modern Fortran
https://github.com/jacobwilliams/nlesolver-fortran

broyden-method differential-correction-algorithm fortran fortran-package-manager lsmr lsqr lusol minimum-norm newton-raphson nonlinear-equation-solver nonlinear-equations quasi-newton

Last synced: 3 months ago
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Nonlinear Equation Solver with Modern Fortran

• Host: GitHub
• URL: https://github.com/jacobwilliams/nlesolver-fortran
• Owner: jacobwilliams
• License: bsd-3-clause
• Created: 2021-11-12T21:54:09.000Z (over 3 years ago)
• Default Branch: master
• Last Pushed: 2024-03-04T04:03:40.000Z (about 1 year ago)
• Last Synced: 2024-12-30T13:56:14.085Z (5 months ago)
• Topics: broyden-method, differential-correction-algorithm, fortran, fortran-package-manager, lsmr, lsqr, lusol, minimum-norm, newton-raphson, nonlinear-equation-solver, nonlinear-equations, quasi-newton
• Language: Fortran
• Homepage:
• Size: 1.08 MB
• Stars: 39
• Watchers: 5
• Forks: 4
• Open Issues: 6
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
![nlesolver-fortran](media/logo.png)

============

Nonlinear Equation Solver with Modern Fortran.

A basic Newton-Raphson type nonlinear equation solver for dense systems with `m` functions of `n` input variables.

A work in progress.

### Status

[![Language](https://img.shields.io/badge/-Fortran-734f96?logo=fortran&logoColor=white)](https://github.com/topics/fortran)

[![CI Status](https://github.com/jacobwilliams/nlesolver-fortran/actions/workflows/CI.yml/badge.svg)](https://github.com/jacobwilliams/nlesolver-fortran/actions)

[![GitHub release](https://img.shields.io/github/release/jacobwilliams/nlesolver-fortran.svg)](https://github.com/jacobwilliams/nlesolver-fortran/releases/latest)

[![codecov](https://codecov.io/gh/jacobwilliams/nlesolver-fortran/branch/master/graph/badge.svg)](https://codecov.io/gh/jacobwilliams/nlesolver-fortran)

[![last-commit](https://img.shields.io/github/last-commit/jacobwilliams/nlesolver-fortran)](https://github.com/jacobwilliams/nlesolver-fortran/commits/master)

### Features

  * Is object-oriented.

  * Works with square, under-determined, or over-determined systems.

  * Can use different methods to solve the linear system:

    1. [LAPACK](https://www.netlib.org/lapack/) routines (`dgesv` or `dgels`) for dense systems: If `n=m`, uses `dgesv` (LU decomposition). If `n/=m`, uses `dgels` (if `m>n` uses QR factorization, if `m